Galactic & Extragalactic Astronomy
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Dark matter from a flat rotation curve

A spiral galaxy has a flat rotation curve with vc=220v_c = 220 km/s out to R=30R = 30 kpc. (a) Find the enclosed mass. (b) The luminous mass is 6×1010 M⊙6\times10^{10}\,M_\odot. What mass-to-light discrepancy does this imply, and what does it tell you about the density profile of the missing matter?

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